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Assisted quantum simulation of open quantum systems

Universal quantum algorithms (UQA) implemented on fault-tolerant quantum computers are expected to achieve an exponential speedup over classical counterparts. However, the deep quantum circuits make the UQA implausible in the current era. With only the noisy intermediate-scale quantum (NISQ) devices...

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Autores principales: Liang, Jin-Min, Lv, Qiao-Qiao, Wang, Zhi-Xi, Fei, Shao-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10040711/
https://www.ncbi.nlm.nih.gov/pubmed/36994076
http://dx.doi.org/10.1016/j.isci.2023.106306
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author Liang, Jin-Min
Lv, Qiao-Qiao
Wang, Zhi-Xi
Fei, Shao-Ming
author_facet Liang, Jin-Min
Lv, Qiao-Qiao
Wang, Zhi-Xi
Fei, Shao-Ming
author_sort Liang, Jin-Min
collection PubMed
description Universal quantum algorithms (UQA) implemented on fault-tolerant quantum computers are expected to achieve an exponential speedup over classical counterparts. However, the deep quantum circuits make the UQA implausible in the current era. With only the noisy intermediate-scale quantum (NISQ) devices in hand, we introduce the quantum-assisted quantum algorithm, which reduces the circuit depth of UQA via NISQ technology. Based on this framework, we present two quantum-assisted quantum algorithms for simulating open quantum systems, which utilize two parameterized quantum circuits to achieve a short-time evolution. We propose a variational quantum state preparation method, as a subroutine to prepare the ancillary state, for loading a classical vector into a quantum state with a shallow quantum circuit and logarithmic number of qubits. We demonstrate numerically our approaches for a two-level system with an amplitude damping channel and an open version of the dissipative transverse field Ising model on two sites.
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spelling pubmed-100407112023-03-28 Assisted quantum simulation of open quantum systems Liang, Jin-Min Lv, Qiao-Qiao Wang, Zhi-Xi Fei, Shao-Ming iScience Article Universal quantum algorithms (UQA) implemented on fault-tolerant quantum computers are expected to achieve an exponential speedup over classical counterparts. However, the deep quantum circuits make the UQA implausible in the current era. With only the noisy intermediate-scale quantum (NISQ) devices in hand, we introduce the quantum-assisted quantum algorithm, which reduces the circuit depth of UQA via NISQ technology. Based on this framework, we present two quantum-assisted quantum algorithms for simulating open quantum systems, which utilize two parameterized quantum circuits to achieve a short-time evolution. We propose a variational quantum state preparation method, as a subroutine to prepare the ancillary state, for loading a classical vector into a quantum state with a shallow quantum circuit and logarithmic number of qubits. We demonstrate numerically our approaches for a two-level system with an amplitude damping channel and an open version of the dissipative transverse field Ising model on two sites. Elsevier 2023-03-03 /pmc/articles/PMC10040711/ /pubmed/36994076 http://dx.doi.org/10.1016/j.isci.2023.106306 Text en © 2023 The Author(s) https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Liang, Jin-Min
Lv, Qiao-Qiao
Wang, Zhi-Xi
Fei, Shao-Ming
Assisted quantum simulation of open quantum systems
title Assisted quantum simulation of open quantum systems
title_full Assisted quantum simulation of open quantum systems
title_fullStr Assisted quantum simulation of open quantum systems
title_full_unstemmed Assisted quantum simulation of open quantum systems
title_short Assisted quantum simulation of open quantum systems
title_sort assisted quantum simulation of open quantum systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10040711/
https://www.ncbi.nlm.nih.gov/pubmed/36994076
http://dx.doi.org/10.1016/j.isci.2023.106306
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